O'Reilly logo

Statistical Methods for Fuzzy Data by Reinhard Viertl

Stay ahead with the world's most comprehensive technology and business learning platform.

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, tutorials, and more.

Start Free Trial

No credit card required

A3

Glossary

Bayes’ formula:

Rule for the calculation of probabilities of hypotheses conditional on observed events.

Bayesian inference:

Statistical inference method where all unknown quantities are modeled by stochastic quantities.

Bayes’ theorem:

Rule for the calculation of probability densities of continuous parameters in stochastic models conditional on observed data of continuous variables.

Characterizing function:

Mathematical description of a fuzzy number.

Complete sample:

If n copies of a stochastic quantity are observed and all n observations are obtained then the sample is called complete.

Fuzzy Bayesian inference:

The generalization of Bayesian inference to the situation of fuzzy a priori information and fuzzy data.

Fuzzy combined sample:

Combination of a sample of fuzzy numbers to form a fuzzy element of the sample space.

Fuzzy confidence region:

Generalization of the concept of confidence region for the situation of fuzzy data.

Fuzzy data:

Data which are not precise numbers or classical vectors.

Fuzzy estimate:

Generalized statistical estimation technique for the situation of fuzzy data.

Fuzzy histogram:

A generalized histogram based on fuzzy data.

Fuzzy HPD-regions:

Generalization of highest probability density regions for parameters in Bayesian inference.

Fuzzy information:

Information which is not given in the form of precise numbers, precise vectors, precise functions or precisely defined models.

Fuzzy number:

Mathematical description of a fuzzy one-dimensional ...

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, interactive tutorials, and more.

Start Free Trial

No credit card required